IXL - Domain and range of exponential functions (Precalculus practice)

What is the domain of this exponential function?

(

–

∞

(8, ∞)

[8, ∞)

(

–

∞

∞)

(

–

∞

ref_doc_title.

Learn with an example

question

What is the range of this exponential function?

{

–

}

all real numbers

{

–

}

{

≥

–

}

{

≤

–

}

key idea

The domain of a function is the set of all possible
x
-values.
The range of a function is the set of all possible
y
-values.

For the exponential function

–

The domain is all real numbers.
The range is either
{
y
|
y
>
k
},
which is all numbers above the horizontal asymptote
y
=
k
,
or
{
y
|
y
<
k
},
which is all numbers below the asymptote.

solution

The range is

{

–

}

since all the possible

-values

of the function are above the horizontal asymptote

–

Looking for more? Try these:

Lesson: Exponential functions

Lesson: Domain and range

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Teacher tools

Work it out

Not feeling ready yet? These can help:

V.6Domain and range of exponential functions: equations

V.5Domain and range of exponential functions: graphs

Lesson: Exponential functions

Lesson: Domain and range

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